Atkin-Lehner |
2- 3- 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
4830bf |
Isogeny class |
Conductor |
4830 |
Conductor |
∏ cp |
280 |
Product of Tamagawa factors cp |
deg |
8960 |
Modular degree for the optimal curve |
Δ |
-515997941760 = -1 · 214 · 35 · 5 · 72 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -6 -4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,259,34545] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:175:1] |
Generators of the group modulo torsion |
j |
1920959458991/515997941760 |
j-invariant |
L |
6.0182888125467 |
L(r)(E,1)/r! |
Ω |
0.7186179459303 |
Real period |
R |
0.11964014390658 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38640bh1 14490x1 24150c1 33810cr1 |
Quadratic twists by: -4 -3 5 -7 |